742560 has 192 divisors, whose sum is σ = 3048192. Its totient is φ = 147456.

The previous prime is 742559. The next prime is 742579. The reversal of 742560 is 65247.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 742560.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 170 × 26 × 168.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 742560.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43672 + ... + 43688.

It is an arithmetic number, because the mean of its divisors is an integer number (15876).

2⁷⁴²⁵⁶⁰ is an apocalyptic number.

742560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096).

742560 is an abundant number, since it is smaller than the sum of its proper divisors (2305632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

742560 is a wasteful number, since it uses less digits than its factorization.

742560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 742560 is about 861.7192118086. The cubic root of 742560 is about 90.5546001017.

The spelling of 742560 in words is "seven hundred forty-two thousand, five hundred sixty".